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anonymous

4 years ago

In a group of 100 persons, 85 had Rh positive blood (Rh factor present), 45 had Type O blood, and 38 had both type O and Rh positive blood. If one person had been selected at random from the group, what would the probability be:
1. that his blood type was Type O and Rh+? A. 3 /20
2. that his blood type was not O? B. 17/20
3. that his blood type was Rh-? C . 93/100
4. that his blood type was Type O and Rh-? D. 11/20
5. that his blood type was Rh+? E. 7/100
6. that his blood type was not Type O or else was Rh+? F. 19/50

if we add the 3 sections we get: 85+45-38 = 92 so there must be 8 people in the setup that had neither Rh or O

anonymous

4 years ago

ok..Im following

amistre64

4 years ago

|dw:1366391683621:dw|

amistre64

4 years ago

this helps us define the numbers involved and the combinations that they ask for

amistre64

4 years ago

1. that his blood type was Type O and Rh+? A. 38 /100
2. that his blood type was not O? B. (100 - 45)/100
3. that his blood type was Rh-? (not RH) C. (100 - 85)/100
4. that his blood type was Type O and notRh? D. 45/100 * C
5. that his blood type was Rh+? E. 85/100
6. that his blood type was not Type O or else
was Rh+? F. B + E

anonymous

4 years ago

One question just so I know Im reading the diagram right. Is Rh. n. O , Rh.NOT.O?

amistre64

4 years ago

there are 2 symbols in set theory; "n" and "u"
n = AND
u = OR

anonymous

4 years ago

ohh I see, makes sense.

amistre64

4 years ago

"and" defines the intersection (commonality) of sets

amistre64

4 years ago

im thinking F might be off

anonymous

4 years ago

so #1 from what I see is A
#2 is D

amistre64

4 years ago

|dw:1366392293192:dw|
notO or Rh is: (100-7)/100
i had a repetition in there

anonymous

4 years ago

Ok now Im a bit confused.

amistre64

4 years ago

notO includes the areas: 47, 8
Rh includes the areas: 47, 38
if we add these together to find the probability of notO or Rh, im doubling an area.

anonymous

4 years ago

oh

amistre64

4 years ago

4. that his blood type was Type O and notRh? this one might be off as well
|dw:1366392674723:dw|
the commonality of O "and" notRH is spose to be 7/100

amistre64

4 years ago

other than that, i think its sound :)

anonymous

4 years ago

so was I right about #1 and #2

amistre64

4 years ago

yes, it might help to rewrite the options in 100 format
A. 15/100
B. 85/100
C . 93/100
D. 55/100
E. 7/100
F. 38/100
that should be more intuitive

anonymous

4 years ago

okay Thanks

amistre64

4 years ago

good luck :)

anonymous

4 years ago

@aussy123, @amistre64 has been quicker than me. I was preparing these tables for you. In the first table you have the given data in green and the calculated data in yellow. The other sisx tables correspond to each question of the problem where I have shaded in green the data to consider. Though late, I hope it helps